Question

I WILL AWARD BRAINLIEST!!! PLEASE HELP!!
1) Rewrite the expression without using absolute value |2x−8| , if x<4

Answer 1

Answer:

8 - 2x

Step-by-step explanation:

|2x -8| , x < 4

Two conditions:

(a) |2x - 8| =   (2x - 8) if (2x - 8) ≥ 0

(b) |2x - 8| = -(2x - 8) if (2x - 8) < 0

If x < 4, (2x - 8) <0, so condition (b) applies.

|2x - 8| = -(2x - 8) or

|2x - 8| = 8 - 2x

The equivalent expression is 8 - 2x.